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Simplifying 4(2x + -5) = -3(x + 8) Reorder the terms: 4(-5 + 2x) = -3(x + 8) (-5 * 4 + 2x * 4) = -3(x + 8) (-20 + 8x) = -3(x + 8) Reorder the terms: -20 + 8x = -3(8 + x) -20 + 8x = (8 * -3 + x * -3) -20 + 8x = (-24 + -3x) Solving -20 + 8x = -24 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -20 + 8x + 3x = -24 + -3x + 3x Combine like terms: 8x + 3x = 11x -20 + 11x = -24 + -3x + 3x Combine like terms: -3x + 3x = 0 -20 + 11x = -24 + 0 -20 + 11x = -24 Add '20' to each side of the equation. -20 + 20 + 11x = -24 + 20 Combine like terms: -20 + 20 = 0 0 + 11x = -24 + 20 11x = -24 + 20 Combine like terms: -24 + 20 = -4 11x = -4 Divide each side by '11'. x = -0.3636363636 Simplifying x = -0.3636363636
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